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The main purpose of this paper is to define the notion of a τ -distance function in a general topological space ( X, τ ).. As application, we get a generalization of the well
To see why this is so, we will first describe the Weyl algebra - an algebra of operators on the Hilbert space of states of the quantum harmonic oscillator - then see how to
Nonimprovable, in general, estimates of the number of necessary and sufficient conditions for two Hermitian operators to be unitarily equaivalent in a unitary space are obtained
Earlier the problem of Krull dimension was investigated only for some particular cases, namely, for Weyl algebras [2], a ring of differ- ential operators [7,8], as well as for rings
Bitsadze [1] investigated the existence and uniqueness of the solution of the Dirichlet problem for equations of more general type than (1), while the solutions of boundary
We make use of a generalization of the fixed point theorem of compression and expansion of functional type to obtain the existence of positive
We are going first to establish a formal procedure for the separation of motions in non-linear systems with strong fast excitation in its most general form based on the multiple
First the con- vection of a square wave in a uniform ¯ow was studied, then the advective±diusion of an initial square column concentration distribution was investigated to show
